Combinatorics and Graph Theory

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Springer Science & Business Media, 19. 7. 2000 - 228 strán (strany)
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Three things should be considered: problems, theorems, and applications. - Gottfried Wilhelm Leibniz, Dissertatio de Arte Combinatoria, 1666 This book grew out of several courses in combinatorics and graph theory given at Appalachian State University and UCLA in recent years. A one-semester course for juniors at Appalachian State University focusing on graph theory covered most of Chapter 1 and the first part of Chapter 2. A one-quarter course at UCLA on combinatorics for undergraduates concentrated on the topics in Chapter 2 and included some parts of Chapter I. Another semester course at Appalachian State for advanced undergraduates and beginning graduate students covered most of the topics from all three chapters. There are rather few prerequisites for this text. We assume some familiarity with basic proof techniques, like induction. A few topics in Chapter 1 assume some prior exposure to elementary linear algebra. Chapter 2 assumes some familiarity with sequences and series, especially Maclaurin series, at the level typically covered in a first-year calculus course. The text requires no prior experience with more advanced subjects, such as group theory.
 

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Obsah

II
5
IV
6
V
9
VI
12
VII
16
VIII
17
IX
20
X
24
XXXIX
119
XL
121
XLI
126
XLII
131
XLIII
135
XLIV
137
XLV
143
XLVI
146

XI
28
XII
37
XIII
41
XIV
43
XV
46
XVI
48
XVII
49
XVIII
51
XIX
56
XX
60
XXI
63
XXII
64
XXIII
66
XXIV
70
XXV
73
XXVI
78
XXVII
80
XXVIII
85
XXIX
88
XXX
89
XXXI
90
XXXII
94
XXXIII
100
XXXIV
105
XXXV
106
XXXVI
107
XXXVII
110
XXXVIII
116
XLVII
151
XLVIII
153
XLIX
157
L
159
LI
163
LII
165
LIV
166
LV
169
LVI
173
LVII
174
LVIII
175
LIX
180
LX
183
LXI
186
LXII
187
LXIII
190
LXIV
194
LXV
199
LXVI
200
LXVII
201
LXVIII
203
LXIX
205
LXX
208
LXXI
210
LXXII
213
LXXIII
215
LXXIV
223
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Strana 1 - The White Rabbit put on his spectacles. "Where shall I begin, please, your Majesty?" he asked. "Begin at the beginning," the King said gravely, "and go on till you come to the end; then stop.

O tomto autorovi (2000)

Jeffry L. Hirst has taught at the Ohio State University and Appalachian State University.

Bibliografické informácie